Seiberg-Witten theory as d<1 topological strings

1998/07/24 by Katsushi Ito, Chuan-Sheng Xiong, Sung-Kil Yang · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #hep-th

paper · pdf · doi:10.1016/s0370-2693(98)01124-1

published as Phys.Lett. B441 (1998) 155-162 · 12 pages, latex

arxiv created 1998/07/24 · openalex publication_date 1998/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In view of two-dimensional topological gravity coupled to matter, we study the Seiberg-Witten theory for the low-energy behavior of N=2 supersymmetric Yang-Mills theory with ADE gauge groups. We construct a new solution of the Picard-Fuchs equations obeyed by the Seiberg-Witten periods. Our solution is expressed as the linear sum over the infinite set of one-point functions of gravitational descendants in d<1 topological strings. It turns out that our solution provides the power series expansion around the origin of the quantum moduli space of the Coulomb branch. For SU(N) gauge group we show how the Seiberg-Witten periods are reconstructed from the present solution.

Cited by

• Dual WDVV equations in N=2 supersymmetric Yang–Mills theory
• Picard–Fuchs equations and Whitham hierarchy in N=2 supersymmetric SU(r+1) Yang–Mills theory
• One-instanton prepotentials from WDVV equations in N=2 supersymmetric SU(4) Yang–Mills theory